This is the shrub you said you wanted to get a picture of to take to your nursery for help. All the research I have done on it today has said it is invasive in the US. It isn't, or sure doesn't seem to be, here. Supposedly it drinks tons of water in a day - so takes away from other plants around it. I am not sure if what I have is the true Tamarix if that is the case because I am not having those problems - so far.
Will leave it up to you to decide if you want to take the chance.